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Finding the Fourth Proportional to 24,108.78, 36,173.55 and 13,013.27

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Solution

The fourth proportional to 24,108.78, 36,173.55 and 13,013.27 is: 19,525.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,108.78 : 36,173.55 = 13,013.27 : x
  2. Step 2: Convert to fraction form
    24,108.78/36,173.55 = 13,013.27/x
  3. Step 3: Cross multiply
    24,108.78x = 36,173.55 × 13,013.27
  4. Step 4: Simplify right side
    24,108.78x = 470,735,992.14
  5. Step 5: Solve for x
    x = 470,735,992.14/24,108.78
  6. Step 6: Final answer
    x = 19,525.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.